-c + 1 > 2
-c > 2-1 Move 1 to subtract.
-c > 1
c < -1 When the coefficient is negative, moving the negative to another side as changing the sign of Inequality to opposite.
Thus, the answer is c < -1
In a 3 digit number, the tens digit equals to the sum of the hundreds digit and the units digit. The hundreds digit of this number is 3 more than the units digit. If the digits were reserved, the new number is 11 less than half of the original number. Find the original number. Brainly
Answer:
The original number is 572.
Step-by-step explanation:
Let the 3 digit number by xyz.
Where x is the hundreds digit, y is the tens digit and z is the units digit.
Hence, the digit is (100x + 10y + z).
From the question, the tens digit equals to the sum of the hundreds digit and the units digit.
That is,
y = x + z ...... (1)
Also, from the question, the hundreds digit of this number is 3 more than the units digit.
That is,
x = z + 3 ...... (2)
Also, from the question, If the digits were reserved, the new number is 11 less than half of the original number
If the digit were reversed, that is xyz becomes zyx. Then, the new number is (100z + 10y + x).
the new number is 11 less than half of the original number
That is,
(100z + 10y + x) + 11 = 1/2(100x + 10y + z)
This becomes
200z + 20y + 2x + 22 = 100x + 10y + z
200z - z +20y -10y +2x - 100x = -22
199z + 10y -98x = -22 ...... (3)
Solving the equations simultaneously,
Put the value of x in equation (2) into equation (1)
x = z + 3 ...... (2)
y = x + z ...... (1)
That is,
y = (z+3) + z
y = 2z + 3 ...... (4)
Put the value of y in equation (4) into equation (3)
199z + 10y -98x = -22
199z + 10(2z +3) -98x = -22
199z + 20z + 30 -98x = -22
219z -98x = -22-30
219z -98x = -52 ...... (6)
Put the value of x in equation (2) into equation (6)
219z -98(z+3) = -52
219z -98z -294 = -52
121z = -52 + 294
121z= 242
z = 242/121
∴ z = 2
Put the value of z into equation (2)
x = z + 3
x = 2 + 3
∴ x = 5
Put the values of z and x into equation (1)
y = x + z
y = 5 + 2
∴ y = 7
Hence, x = 5, y = 7 and z = 2.
Recall that the original number is 100x + 10y + z.
100x + 10y + z = 100(5) + 10(7) +2 = 500 + 70 + 2 = 572
Hence, the original number is 572.
Write in slope intercept form given two points (1,2) and (-2,5)
list the points in a graph of f where f(x)= -2
equations is f(x)= 3x²-x-2
Answer:
(0,-2), (1/3,-2)
Step-by-step explanation:
Given the answer to a
problem asking you to simplify the expression,
write the possible problem. Explain how you
created the problem.
I really need help I don’t understand this. I will be given 20 points to whoever helps me. Thank you
what is the slope of a line perpendicular to the line y=-1/4x-1
slope of line perpendicular to the line y=-1/4x-1 is 4.
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
Let us write the given equation y=-1/4x-1
If we compare the given equation with slope intercept form
We get to know slope of line m is -1/4.
It two lines are perpendicular then the product of their slopes will be -1
-1/4×m=-1
m=4
Hence slope of line perpendicular to the line y=-1/4x-1 is 4.
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Hii can someone help me this is science I didn’t mean to put math and this is 6th grade work btw I’ll give you BRAINLIST if you want one no joke ! Please answer does 2 questions
Answer:
Lunar, and solar eclipse!
Step-by-step explanation:
This first one, is pretty easy! An easy way to remember it is solar is sun (both start with s), so lunar is moon!
The second one is solar eclipse, since the moon passes between the sun and earth, which causes the moon's shadow to fall on earth!
I hope this helps, and I'm here if you need anything else! <3
Cindy can type 65 words per minute. David can type 75 words per minute. In 7 minutes, how many more words can David type than Cindy?
Answer:
70
Step-by-step explanation:
It's 70 because first you have multiply for Cindy's words 65×7=455 then multiple David's 75 word times 7 and you get 525. Lastly, You subtract both of their totals and get 70
Hope this helped!
PLS HELP I BEG YOU ASAP! PLS Answer this! I only have 5 minutes PLS I BEG U!!!! I also the the price of each notebook hint:find the value of X
Answer: 2x+4=10
Step-by-step explanation:
because each notebook would cost $3 so 2 x 3 = 6 +4=10
Answer:
first
2x + 4 = 10
2x+4=10
2x+4=10
Solve
1
Subtract
4
4
4
from both sides of the equation
2
+
4
=
1
0
2x+4=10
2x+4=10
2
+
4
−
4
=
1
0
−
4
2x+4{\color{#c92786}{-4}}=10{\color{#c92786}{-4}}
2x+4−4=10−4
2
Simplify
Subtract the numbers
Subtract the numbers
2
=
6
2x=6
2x=6
3
Divide both sides of the equation by the same term
2
=
6
2x=6
2x=6
2
2
=
6
2
\frac{2x}{{\color{#c92786}{2}}}=\frac{6}{{\color{#c92786}{2}}}
22x=26
4
Simplify
Cancel terms that are in both the numerator and denominator
Divide the numbers
=
3
x=3
x=3
Solution
=
3
Second one
6 = 10
2
Simplify
Cancel terms that are in both the numerator and denominator
Divide the numbers
=
5
3
x=\frac{5}{3}
x=35
Solution = 5/3
i hope these help to figure out the third sorry its all messed up it wouldnt let me do another way
branlieeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeest
Answer:
A
You are looking for points on the x-y plane which satisfy the equation y = 5/2x + 3/2, and these point are all those that lie on the graph of the equation which are points (x,y) = (x, 5/2x + 3/2)
If you are looking at the other choices you could see that B only gives you 3 points and even if they are on the graph of y the choice cannot be the answer
D is the same like B
Choice C is just the whole of x-y plane so this cannot be the answer because not every point on the x-y plane is a Solution to y=5/2x+3/2
solve the inequality
h-(-2)≥10
Let's solve your inequality step-by-step.
h−(−2)≥10
Step 1: Simplify both sides of the inequality.
h+2≥10
Step 2: Subtract 2 from both sides.
h+2−2≥10−2
h≥8
Answer:
h≥8
(Pls mark brainliest)
The solution to the inequality h -(-2) ≥ 10 is h ≥ 8
The given inequality is:
h -(-2) ≥ 10
Simplify the left hand side
h + 2 ≥ 10
Subtract 2 from both sides of the inequality
h + 2 - 2 ≥ 10 - 2
h ≥ 8
The solution to the inequality h -(-2) ≥ 10 is h ≥ 8
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2/5x+4 =1/5x+8
I give up I hate math
50 50 23 start fraction, 23, divided by, 50, end fraction of Xander's friends prefer to stay home on Friday nights. What percent of Xander's friends prefer to stay home on Friday nights?
Answer:
Percent of Xander's friends that prefer to stay home on Friday nights = 46%
Step-by-step explanation:
23/50 of Xander's friends prefer to stay home on Friday nights.
What percent of Xander's friends prefer to stay home on Friday nights?
% of Xander's friends that prefer to stay home on Friday nights
= 23/50 × 100
= 0.46 × 100
= 46%
Percent of Xander's friends that prefer to stay home on Friday nights = 46%
He national debt of a country is $298,800,000,000,000 and the population is 53,980,000. What is the debt per person? Write the answer without exponents.
Answer:
5535383.47 units
Step-by-step explanation:
Given that,
The national dept of a country = 298,800,000,000,000
Population of the country = 53,980,000
We need to find the debt per person. It can be calculated by dividing national dept of a country to its total population. Let it is d.
[tex]d=\dfrac{298800000000000}{53980000}\\\\=5535383.47\ \text{units}[/tex]
Hence, the debt per person is 5535383.47 units.
Which expression is NOT equivalent to 6 × 14?
Answer:
D
Step-by-step explanation:
10(40)= 400
6(400)= 2,400
6(14)= 84
Therefore they are not equal.
CAN SOMEONE THAT IS VERY GOOD IN MATH HELP ME
Answer:
2. 2/1 is the ratio of seltzer to juice. It means that there is twice as much seltzer as there is juice.
3. (2,4) represents the amount of seltzer and juice. At this point there are 4 cups of seltzer, and two cups of juice.
4. (1,2) can be used to find the constant of proportionality and slope.
5. y=2x
6. y=2*15
y=30
Step-by-step explanation:
If you need explanations for any of these let me know, and I'll add them.
Jenny made 520 walnut biscuits. This is 40% of the total number of biscuits that she made. How many biscuits did she make in all?
she made 1300 biscuits
Small 20 caps $180.00
Medium 32 caps $270.00
Large 50 caps $360.00
The chart shows the price of baseball caps for different pack sizes. Coach Lewis will buy the medium size pack of caps. About how much will each cap cost? Write an equation to model the problem.
Consider the rectangle.
4
x+1
-
Which pair of expressions represents the area of the rectangle?
O 2(x + 1) + 2 (4) and 2x +9
O 2(x + 1) +2 (4) and 2x + 10
O 4(x + 1) and 4x + 1
O 4(x + 1) and 4x + 4
Answer:
[tex] \boxed{ \underline{ \underline { \bold{ \tt{4(x + 1) \: and \: 4x + 4}}}}}[/tex]
☯[tex] \underline{ \underline{ \text{Question}}} : [/tex]
☥ Which pair of expressions represents the area of the rectangle?
☐ 2(x + 1) + 2 (4) and 2x +9
☐ 2(x + 1) +2 (4) and 2x + 10
☐ 4(x + 1) and 4x + 1
☑ 4(x + 1) and 4x + 4
☪ [tex] \underline{ \text{Given :}}[/tex]
Length of a rectangle ( L ) = 4Breadth of a rectangle ( B ) = x + 1☪ [tex] \underline{ \text{To \: Find} : }[/tex]
Pair of expressions which represents the area of the given rectangle☪ [tex] \underline{ \text{Solution}} : [/tex]
❀ [tex] \underline{ \boxed{ \sf{Area \: of \: a \: rectangle = length \times breadth}}}[/tex]
↦ [tex] \sf{4 \times (x + 1)}[/tex]
↦ [tex] \boxed{ \sf{4(x + 1)}}[/tex]
Also , In 4 ( x + 1 ) , if we distribute 4 through the parentheses , it would be 4*x + 4*1 = [tex] \boxed{ \sf{4x + 4}}[/tex].
Hence , the right answer is of last option { i.e 4 ( x + 1 ) and 4x + 4 } .
And we're done !
Hope I helped!!
♡ Have a wonderful day / night ツ
~ [tex] \text{TheAnimeGirl}[/tex] ♪
▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
Li deposited $17,500 into a bank account that earned simple interest each year. After 2 years, he had earned $2975 in interest.
No money was deposited into or withdrawn from the account.
What was the annual interest rate?
Enter your answer in the box.
Answer: 8.5%
Step-by-step explanation:
Formula : Simple interest = (Principal) x (annual interest rate) x (Time) (i)
Given: Principal : P = $ 17,500
Time : 2 years
Simple interest : I = $ 2975
Let r = annual
[tex]2975=17500\times(r)\times(2)[/tex]
[tex]\Rightarrow\ r=\dfrac{2975}{17500\times2}\\\\\Rightarrow\ r=0.085\\\\\Rightarrow\ r=0.085\times100\\\\\Rightarrow\ r=8.5\%[/tex]
Hence, The annual interest rate was 8.5%.
My mom likes to support my efforts on the cycling team, so she is always there to watch me race. At the last race, she became so excited that she promised to buy me 4 cupcakes for every three laps I completed. I completed a whole race, a whopping 24 laps! How many cupcakes did my mom buy me? Just write a number for an answer.
Answer:
I think that the answer is 32 cupcakes. I am sorry if this is wrong, but go subscribe to me at SSSniperwolf and LittleLia.
Step-by-step explanation:
What is the solution of the system of equations?
Help
Answer:
(0, 5)
Step-by-step explanation:
HELP HURRY!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
x=0
Step-by-step explanation:
Anything to the power of 0 is 1
Answer:
x=0
Step-by-step explanation:
take the logarithm of both sides of the equation to remove the variable from the exponent.
17 < 2x + 7 <29*
Your Inswer
Answer:
5<x<11
Step-by-step explanation:
Answer:x=3
Step-by-step explanation:
I need these answers please please please I need it ASAP
Answer:
1:101
2:15
3:11
4:56
Source:trust me bro
.Write the following number in expanded form using powers of 10: 67.938
Answer:
67.938 =
(6 * 10^1) + (7 * 10^0) + (9 * 10^-1) + (3 * 10^-2) + (8 * 10^-3)
Step-by-step explanation:
Here, we want to write the given number in expanded form
Mathematically that will be ;
60 + 7 + 0.9 + 0.03 + 0.008
Using the power of 10, that will be;
(6 * 10^1) + (7 * 10^0) + (9 * 10^-1) + (3 * 10^-2) + (8 * 10^-3)
One number is 6 less than another number. Their sum is 50. What is the smaller number?
If x = the larger number and y = the smaller number, then which of the following systems could be used to solve the problem?
x + y = 50 and -x + y = 6
x + y = 50 and x - y = 6
x + y = 50 and x + y = 6
x - y = 50 and x + y = 6
Answer:
y = 2x - 6
Step-by-step explanation:
Help needed asap
If 0
Answer:
umm... i need a problem or anything bud
Step-by-step explanation:
Algebra question
What is the solution to the following system?
(3, 1, 0)
(0, 1, 0)
(2, 1, 0)
(–2, 1, 0)
Answer:
C.(2,1,0)
Step-by-step explanation:
on edg
The solution to the following system is [tex](2,1,0)[/tex].
What is Algebra?Algebra is defined as the study of mathematical symbols and in which letters and symbols are used to represent numbers.
We have,
[tex]3x+3y+6z=9[/tex] [tex](i)[/tex]
[tex]x+3y+2z=5[/tex] [tex](ii)[/tex]
[tex]3x+12y+12z=18[/tex] [tex](iii)[/tex]
To find the solution to the above give algebraic equations,
We have to find values of [tex]x,y,z[/tex].
So,
We will be putting [tex]z=0[/tex] in equation [tex](i)[/tex],
[tex]3x+3y+6(0)=9[/tex]
[tex]3x+3y=9[/tex] [tex](iv)[/tex]
Now,
We will be putting [tex]z=0[/tex] in equation [tex](ii)[/tex],
[tex]x+3y+2(0)=5[/tex]
[tex]x+3y=5[/tex]
[tex]x=5-3y[/tex] [tex](v)[/tex]
Using equation [tex](iv)[/tex] & [tex](v)[/tex],
We get,
[tex]3(5-3y) +3y=9[/tex]
[tex]15-9y+3y=9[/tex]
[tex]-6y=-6[/tex]
[tex]y=1[/tex],
Now we have value of [tex]y=1[/tex], putting this value in equation [tex](v)[/tex],
[tex]x=5-3(1)[/tex]
[tex]x=2[/tex],
Hence, we can say that option [tex](2,1,0)[/tex] is the correct answer.
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jerry started doing sit ups everyday. the first day he did 19 sit-ups. everyday after he did 4 more sit-ups than he had than the previous day. Today jerry did 81 sit-ups. write an equation that could be solved to find the number of days jerry has been doing sit-ups, not counting the first day. let n represent number of days.
Answer:
157
Step-by-step explanation:
Answer:
can you explain what two number you added to get that number "157"
Step-by-step explanation:
The line graphed below has a slope of ____.
3
1/3
-3
Answer:
-3
Step-by-step explanation:
Hope this helps!